%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : DAT282^1 : TPTP v9.2.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 08:45:22 AM UTC 2026
% Result : Theorem 1.42s 1.19s
% Output : Refutation 1.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : DAT282^1 : TPTP v9.2.1. Released v7.0.0.
% 0.00/0.10 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/0.30 % Computer : n013.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8042.1875MB
% 0.12/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Tue Feb 24 06:13:08 EST 2026
% 0.12/0.30 % CPUTime :
% 0.12/0.30 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.20/0.39 ---- Original DTF file ---
% 0.20/0.39 thf(spec,logic,$$dhol).
% 0.20/0.39 %------------------------------------------------------------------------------
% 0.20/0.39 % File : DAT282^1 : TPTP v9.2.1. Released v7.0.0.
% 0.20/0.39 % Domain : Analysis
% 0.20/0.39 % Problem : ZIP_
% 0.20/0.39 % Version : Especial.
% 0.20/0.39 % English :
% 0.20/0.39
% 0.20/0.39 % Refs : [Kal16] Kalisyk (2016), Email to Geoff Sutcliffe
% 0.20/0.39 % Source : [Kal16]
% 0.20/0.39 % Names : ZIP_0.p [Kal16]
% 0.20/0.39
% 0.20/0.39 % Status : Theorem
% 0.20/0.39 % Rating : 0.00 v9.0.0, 0.33 v8.1.0, 0.00 v7.1.0
% 0.20/0.39 % Syntax : Number of formulae : 6 ( 2 unt; 4 typ; 0 def)
% 0.20/0.39 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 0.20/0.39 % Maximal formula atoms : 1 ( 1 avg)
% 0.20/0.39 % Number of connectives : 24 ( 0 ~; 0 |; 0 &; 24 @)
% 0.20/0.39 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.20/0.39 % Maximal formula depth : 4 ( 4 avg)
% 0.20/0.39 % Number of types : 0 ( 0 usr)
% 0.20/0.39 % Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% 0.20/0.39 % Number of symbols : 5 ( 4 usr; 0 con; 1-4 aty)
% 0.20/0.39 % Number of variables : 8 ( 0 ^; 5 !; 0 ?; 8 :)
% 0.20/0.39 % ( 3 !>; 0 ?*; 0 @-; 0 @+)
% 0.20/0.39 % SPC : TH1_THM_EQU_NAR
% 0.20/0.39
% 0.20/0.39 % Comments : Exported from core HOL Light.
% 0.20/0.39 %------------------------------------------------------------------------------
% 0.20/0.39 thf('thf_type_type/pair/prod',type,
% 0.20/0.39 'type/pair/prod': $tType > $tType > $tType ).
% 0.20/0.39
% 0.20/0.39 thf('thf_type_type/ind_types/list',type,
% 0.20/0.39 'type/ind_types/list': $tType > $tType ).
% 0.20/0.39
% 0.20/0.39 thf('thf_const_const/lists/ZIP',type,
% 0.20/0.39 'const/lists/ZIP':
% 0.20/0.39 !>[A: $tType,A0: $tType] : ( ( 'type/ind_types/list' @ A ) > ( 'type/ind_types/list' @ A0 ) > ( 'type/ind_types/list' @ ( 'type/pair/prod' @ A @ A0 ) ) ) ).
% 0.20/0.39
% 0.20/0.39 thf('thf_const_const/ind_types/NIL',type,
% 0.20/0.39 'const/ind_types/NIL':
% 0.20/0.39 !>[A: $tType] : ( 'type/ind_types/list' @ A ) ).
% 0.20/0.39
% 0.20/0.39 thf('thm/lists/ZIP_DEF_0',axiom,
% 0.20/0.39 ! [A: $tType,A0: $tType,A1: 'type/ind_types/list' @ A0] :
% 0.20/0.39 ( ( 'const/lists/ZIP' @ A @ A0 @ ( 'const/ind_types/NIL' @ A ) @ A1 )
% 0.20/0.39 = ( 'const/ind_types/NIL' @ ( 'type/pair/prod' @ A @ A0 ) ) ) ).
% 0.20/0.39
% 0.20/0.39 thf('thm/lists/ZIP_0',conjecture,
% 0.20/0.39 ! [A: $tType,A0: $tType] :
% 0.20/0.39 ( ( 'const/lists/ZIP' @ A @ A0 @ ( 'const/ind_types/NIL' @ A ) @ ( 'const/ind_types/NIL' @ A0 ) )
% 0.20/0.39 = ( 'const/ind_types/NIL' @ ( 'type/pair/prod' @ A @ A0 ) ) ) ).
% 0.20/0.39
% 0.20/0.39 %------------------------------------------------------------------------------
% 0.20/0.39 ------------------------
% 1.42/1.16 ---- Embedded in THF ---
% 1.42/1.16 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.42/1.16 %%% Generated on Tue Feb 24 06:13:08 EST 2026
% 1.42/1.16 %%% using '$$dhol' embedding, version 1.3.0.
% 1.42/1.16 %%% Logic specification used:
% 1.42/1.16 %%% thf(spec, logic, $$dhol).
% 1.42/1.16
% 1.42/1.16 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.BLKFNWr6rN/DTF2DTF24661.p
% 1.42/1.16 thf('thf_type_type/pair/prod', type, 'type/pair/prod': ($tType > ($tType > $tType))).
% 1.42/1.16 thf('thf_type_type/ind_types/list', type, 'type/ind_types/list': ($tType > $tType)).
% 1.42/1.16 thf('thf_const_const/lists/ZIP', type, 'const/lists/ZIP': (!> [A:$tType,A0:$tType]: ((('type/ind_types/list' @ A) > (('type/ind_types/list' @ A0) > ('type/ind_types/list' @ (('type/pair/prod' @ A) @ A0))))))).
% 1.42/1.16 thf('thf_const_const/ind_types/NIL', type, 'const/ind_types/NIL': (!> [A:$tType]: (('type/ind_types/list' @ A)))).
% 1.42/1.16 thf('thm/lists/ZIP_DEF_0', axiom, (! [A:$tType,A0:$tType,A1:('type/ind_types/list' @ A0)]: (((((('const/lists/ZIP' @ A) @ A0) @ ('const/ind_types/NIL' @ A)) @ A1) = ('const/ind_types/NIL' @ (('type/pair/prod' @ A) @ A0)))))).
% 1.42/1.16 thf('thm/lists/ZIP_0', conjecture, (! [A:$tType,A0:$tType]: (((((('const/lists/ZIP' @ A) @ A0) @ ('const/ind_types/NIL' @ A)) @ ('const/ind_types/NIL' @ A0)) = ('const/ind_types/NIL' @ (('type/pair/prod' @ A) @ A0)))))).
% 1.42/1.16 % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.BLKFNWr6rN/DTF2DTF24661.p
% 1.42/1.16 ------------------------
% 1.42/1.17 ---- Cleaned THF ---
% 1.42/1.17 thf('thf_type_type/pair/prod',type,
% 1.42/1.17 'type/pair/prod': $tType > $tType > $tType ).
% 1.42/1.17
% 1.42/1.17 thf('thf_type_type/ind_types/list',type,
% 1.42/1.17 'type/ind_types/list': $tType > $tType ).
% 1.42/1.17
% 1.42/1.17 thf('thf_const_const/lists/ZIP',type,
% 1.42/1.17 'const/lists/ZIP':
% 1.42/1.17 !>[A: $tType,A0: $tType] : ( ( 'type/ind_types/list' @ A ) > ( 'type/ind_types/list' @ A0 ) > ( 'type/ind_types/list' @ ( 'type/pair/prod' @ A @ A0 ) ) ) ).
% 1.42/1.17
% 1.42/1.17 thf('thf_const_const/ind_types/NIL',type,
% 1.42/1.17 'const/ind_types/NIL':
% 1.42/1.17 !>[A: $tType] : ( 'type/ind_types/list' @ A ) ).
% 1.42/1.17
% 1.42/1.17 thf('thm/lists/ZIP_DEF_0',axiom,
% 1.42/1.17 ! [A: $tType,A0: $tType,A1: 'type/ind_types/list' @ A0] :
% 1.42/1.17 ( ( 'const/lists/ZIP' @ A @ A0 @ ( 'const/ind_types/NIL' @ A ) @ A1 )
% 1.42/1.17 = ( 'const/ind_types/NIL' @ ( 'type/pair/prod' @ A @ A0 ) ) ) ).
% 1.42/1.17
% 1.42/1.17 thf('thm/lists/ZIP_0',conjecture,
% 1.42/1.17 ! [A: $tType,A0: $tType] :
% 1.42/1.17 ( ( 'const/lists/ZIP' @ A @ A0 @ ( 'const/ind_types/NIL' @ A ) @ ( 'const/ind_types/NIL' @ A0 ) )
% 1.42/1.17 = ( 'const/ind_types/NIL' @ ( 'type/pair/prod' @ A @ A0 ) ) ) ).
% 1.42/1.17 ------------------------
% 1.42/1.19 % (24993)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_24661 for (2999ds/275Mi)
% 1.42/1.19 % (24993)First to succeed.
% 1.42/1.19 % (24992)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_24661 for (2999ds/2Mi)
% 1.42/1.19 % Exception at run slice level
% 1.42/1.19 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.42/1.19 % (24993)Refutation found. Thanks to Tanya!
% 1.42/1.19 % SZS status Theorem for DTF2THF_24661
% 1.42/1.19 % SZS output start Proof for DTF2THF_24661
% 1.42/1.19 thf(type_def_5, type, 'type/ind_types/list': ($tType) > $tType).
% 1.42/1.19 thf(type_def_6, type, 'type/pair/prod': ($tType * $tType) > $tType).
% 1.42/1.19 thf(type_def_8, type, sK0: $tType).
% 1.42/1.19 thf(type_def_9, type, sK1: $tType).
% 1.42/1.19 thf(func_def_0, type, 'type/pair/prod': ($tType * $tType) > $tType).
% 1.42/1.19 thf(func_def_1, type, 'type/ind_types/list': ($tType) > $tType).
% 1.42/1.19 thf(func_def_2, type, 'const/lists/ZIP': !>[X0: $tType, X1: $tType]:('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X1 > 'type/ind_types/list' @ 'type/pair/prod' @ X0 @ X1)).
% 1.42/1.19 thf(func_def_3, type, 'const/ind_types/NIL': !>[X0: $tType]:('type/ind_types/list' @ X0)).
% 1.42/1.19 thf(f10,plain,(
% 1.42/1.19 $false),
% 1.42/1.19 inference(subsumption_resolution,[status(thm)],[f8,f9])).
% 1.42/1.19 thf(f9,plain,(
% 1.42/1.19 ( ! [X1 : $tType,X0 : $tType,X2 : 'type/ind_types/list' @ X1] : ((('const/lists/ZIP' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0 @ X2) = 'const/ind_types/NIL' @ 'type/pair/prod' @ X0 @ X1)) )),
% 1.42/1.19 inference(cnf_transformation,[status(thm)],[f1])).
% 1.42/1.19 thf(f1,axiom,(
% 1.42/1.19 ! [X0 : $tType,X1 : $tType,X2 : 'type/ind_types/list' @ X1] : (('const/lists/ZIP' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0 @ X2) = 'const/ind_types/NIL' @ 'type/pair/prod' @ X0 @ X1)),
% 1.42/1.19 file('/export/starexec/sandbox/tmp/tmp.BLKFNWr6rN/DTF2THF_24661.p','thm/lists/ZIP_DEF_0')).
% 1.42/1.19 thf(f8,plain,(
% 1.42/1.19 ('const/ind_types/NIL' @ 'type/pair/prod' @ sK0 @ sK1 != ('const/lists/ZIP' @ sK0 @ sK1 @ 'const/ind_types/NIL' @ sK0 @ 'const/ind_types/NIL' @ sK1))),
% 1.42/1.19 inference(cnf_transformation,[status(thm)],[f7])).
% 1.42/1.19 thf(f7,plain,(
% 1.42/1.19 ('const/ind_types/NIL' @ 'type/pair/prod' @ sK0 @ sK1 != ('const/lists/ZIP' @ sK0 @ sK1 @ 'const/ind_types/NIL' @ sK0 @ 'const/ind_types/NIL' @ sK1))),
% 1.42/1.19 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f6])).
% 1.42/1.19 thf(f6,plain,(
% 1.42/1.19 ? [X0 : $tType,X1 : $tType] : ('const/ind_types/NIL' @ 'type/pair/prod' @ X0 @ X1 != ('const/lists/ZIP' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0 @ 'const/ind_types/NIL' @ X1)) => ('const/ind_types/NIL' @ 'type/pair/prod' @ sK0 @ sK1 != ('const/lists/ZIP' @ sK0 @ sK1 @ 'const/ind_types/NIL' @ sK0 @ 'const/ind_types/NIL' @ sK1))),
% 1.42/1.19 introduced(definition,[],[choice_axiom])).
% 1.42/1.19 thf(f5,plain,(
% 1.42/1.19 ? [X0 : $tType,X1 : $tType] : ('const/ind_types/NIL' @ 'type/pair/prod' @ X0 @ X1 != ('const/lists/ZIP' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0 @ 'const/ind_types/NIL' @ X1))),
% 1.42/1.19 inference(ennf_transformation,[status(thm)],[f3])).
% 1.42/1.19 thf(f3,negated_conjecture,(
% 1.42/1.19 ~! [X0 : $tType,X1 : $tType] : ('const/ind_types/NIL' @ 'type/pair/prod' @ X0 @ X1 = ('const/lists/ZIP' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0 @ 'const/ind_types/NIL' @ X1))),
% 1.42/1.19 inference(negated_conjecture,[status(cth)],[f2])).
% 1.42/1.19 thf(f2,conjecture,(
% 1.42/1.19 ! [X0 : $tType,X1 : $tType] : ('const/ind_types/NIL' @ 'type/pair/prod' @ X0 @ X1 = ('const/lists/ZIP' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0 @ 'const/ind_types/NIL' @ X1))),
% 1.42/1.19 file('/export/starexec/sandbox/tmp/tmp.BLKFNWr6rN/DTF2THF_24661.p','thm/lists/ZIP_0')).
% 1.42/1.19 % SZS output end Proof for DTF2THF_24661
% 1.42/1.19 % (24993)------------------------------
% 1.42/1.19 % (24993)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.42/1.19 % (24993)Termination reason: Refutation
% 1.42/1.19
% 1.42/1.19 % (24993)Memory used [KB]: 5500
% 1.42/1.19 % (24993)Time elapsed: 0.002 s
% 1.42/1.19 % (24993)Instructions burned: 1 (million)
% 1.42/1.19 % (24993)------------------------------
% 1.42/1.19 % (24993)------------------------------
% 1.42/1.19 % (24987)Success in time 0.011 s
%------------------------------------------------------------------------------